Given the quadratic equation (4x - 16)(x + 2) = 0, use the Zero Product Property to find the value of x in the first factor: x = ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of the Zero Product Property and its application to solve a simple quadratic equation. The student needs to recognize that if a product of factors equals zero, then at least one of the factors must be zero.
Key Concept Explanation
The Zero Product Property is a fundamental tool in algebra used to solve equations where the product of factors equals zero. It states that if , then either or (or both are zero).
Step-by-step Solution
1. Identify the given equation:
2. Apply the Zero Product Property:
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